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Sladkaya [172]
2 years ago
8

EB bisects ∠RED. Find the measure of ∠BED if ∠REB = 5x – 3 and ∠RED = 8x + 16.

Mathematics
1 answer:
lana66690 [7]2 years ago
8 0

Answer:

52°

Step-by-step explanation:

since EB bisects ∠RED, ∠REB = ½× ∠RED.

and the equation could be :

5x-3=½(8x+16)

5x-3=4x+8

5x-4x=8+3

x = 11

so, ∠BED = ∠REB = 5x – 3 = 5(11)-3

= 55-3 = 52°

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The center of the circle is (h,k) = (-2,-3)

The radius of the circle is r = 2

The standard form of equation of the circle is

{(x + 2)}^{2}  +  {(y + 3)}^{2}  = 4

<h3>How to find the center, radius and standrad form of the circle?</h3>

The general form of equation of the circle is

{(x - h)}^{2}  +  {(y - k)}^{2}  =  {r}^{2}

Here, (h,k) means centre of the circle.

r means radius of the circle.

given that coordinate points of centre of circle is (-2,-3).

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<h3>How to find the radius of the circle?</h3>

Now to find the radius of the circle

The distance from a circle's centre to its circumference is its radius.

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<h3>How to find the standard form of equation of the circle?</h3>

(h,k) = (-2,-3)

r = 2

subtitue the (h,k) and r values to get the standard form of equation of the circle.

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Learn more about circle, refer:

brainly.com/question/24810873

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12.2

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